Extensions 1→N→G→Q→1 with N=C₂₆ and Q=C₁₂

Direct product G=N×Q with N=C₂₆ and Q=C₁₂

		d	ρ	Label	ID
C₂×C₁₅₆		312		C2xC156	312,42

Semidirect products G=N:Q with N=C₂₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊C₁₂ = C₂×F₁₃	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₂₆	26	12+	C26:C12	312,45
C₂₆⋊₂C₁₂ = C₂×C₂₆.C₆	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₆	104		C26:2C12	312,11
C₂₆⋊₃C₁₂ = C₆×C₁₃⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₆	78	4	C26:3C12	312,52
C₂₆⋊₄C₁₂ = C₂×C₄×C₁₃⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₆	104		C26:4C12	312,22
C₂₆⋊₅C₁₂ = C₆×Dic₁₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₆	312		C26:5C12	312,30

Non-split extensions G=N.Q with N=C₂₆ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.C₁₂ = C₁₃⋊C₂₄	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₂₆	104	12-	C26.C12	312,7
C₂₆.₂C₁₂ = C₁₃⋊₂C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₆	104	6	C26.2C12	312,1
C₂₆.₃C₁₂ = C₃×C₁₃⋊C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₆	312	4	C26.3C12	312,13
C₂₆.₄C₁₂ = C₈×C₁₃⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₆	104	3	C26.4C12	312,2
C₂₆.₅C₁₂ = C₃×C₁₃⋊₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₆	312	2	C26.5C12	312,4

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